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Finding the Fourth Proportional to 54,697.63, 82,046.43 and 13,144.63

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Solution

The fourth proportional to 54,697.63, 82,046.43 and 13,144.63 is: 19,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.63 : 82,046.43 = 13,144.63 : x
  2. Step 2: Convert to fraction form
    54,697.63/82,046.43 = 13,144.63/x
  3. Step 3: Cross multiply
    54,697.63x = 82,046.43 × 13,144.63
  4. Step 4: Simplify right side
    54,697.63x = 1,078,469,965.17
  5. Step 5: Solve for x
    x = 1,078,469,965.17/54,697.63
  6. Step 6: Final answer
    x = 19,716.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.